Search a number
-
+
11001103202001 = 3112147179205913
BaseRepresentation
bin1010000000010110010011…
…0110010011011011010001
31102221200202210112010221210
42200011210312103123101
52420220224404431001
635221500445010333
72213542410223563
oct240054466233321
942850683463853
1011001103202001
1135615a5a60a00
1212981072539a9
1361a526b562c3
142a0655ca9333
1514126d473dd6
hexa0164d936d1

11001103202001 has 24 divisors (see below), whose sum is σ = 16123016780640. Its totient is φ = 6667257593920.

The previous prime is 11001103201997. The next prime is 11001103202003. The reversal of 11001103202001 is 10020230110011.

It is not a de Polignac number, because 11001103202001 - 22 = 11001103201997 is a prime.

It is a super-2 number, since 2×110011032020012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11001103202003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53323021 + ... + 53528933.

It is an arithmetic number, because the mean of its divisors is an integer number (671792365860).

Almost surely, 211001103202001 is an apocalyptic number.

11001103202001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001103202001 is a deficient number, since it is larger than the sum of its proper divisors (5121913578639).

11001103202001 is a wasteful number, since it uses less digits than its factorization.

11001103202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353117 (or 353106 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11001103202001 its reverse (10020230110011), we get a palindrome (21021333312012).

The spelling of 11001103202001 in words is "eleven trillion, one billion, one hundred three million, two hundred two thousand, one".

Divisors: 1 3 11 33 121 363 147179 205913 441537 617739 1618969 2265043 4856907 6795129 17808659 24915473 53425977 74746419 30306069427 90918208281 333366763697 1000100291091 3667034400667 11001103202001